Solve the differential equation
d
y
d
x
=
8
x
+
4
y
4
x
+
8
y
\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=\frac{{{8}{x}+{4}{y}}}{{{4}{x}+{8}{y}}}
d
x
d
y
=
4
x
+
8
y
8
x
+
4
y
Write your solution without logarithms, and use a single, consolidated
c
\displaystyle {c}
c
as a constant.
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